Question

Matt solved the system y-3x=2 y=-x-6 by substituting -x-6 for y in y-3x=2. Which is the value of x in the solution of the system?

Answer 1

x = -2

Step-by-step explanation:

y-3x=2

y=-x-6 we get -x-3x-6=2, -4x = 8, x = -2, y = -4

Answer 2

To solve the system of equations y - 3x = 2 and y = -x - 6 by substitution, we substitute the second equation (-x - 6) for y in the first equation (y - 3x = 2). The value of x in the solution of the system is -2.

Step-by-step explanation:

To solve the system of equations y - 3x = 2 and y = -x - 6 by substitution, we substitute the second equation (-x - 6) for y in the first equation (y - 3x = 2).

Substituting -x - 6 for y, we get (-x - 6) - 3x = 2.

Simplifying the equation, we have -x - 6 - 3x = 2 which becomes -4x - 6 = 2.

Adding 6 to both sides, we have -4x = 8. Dividing both sides by -4, we get x = -2.

Therefore, the value of x in the solution of the system is -2.